Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form

Details Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form

2008-07-24

arxiv.org/abs/0807.3782v1

Mathematics

Differential Geometry

Scientific paper

For a complex flat vector bundle over a fibered manifold, we consider the
1-parameter family of certain deformed sub-signature operators introduced by
Ma-Zhang. We compute the adiabatic limit of the Bismut-Freed connection
associated to this family and show that the Bismut-Lott analytic torsion form
shows up naturally under this procedure.

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